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arXiv · 1805.01628

Brownian motion in the pilot wave interpretation of de Broglie and relaxation to quantum equilibrium

A. Drezet
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Abstract

The pilot wave interpretation proposed by de Broglie and later by Bohm contains not only a dynamical ontology but also relies on a statistical assumption known as quantum equilibrium. In this work which follows our recent article [1] we develop a Langevin force description of the relaxation process which leads to quantum equilibrium. Based on a application of the Caldera-Leggett model for a thermal bath we show how a Brownian motion leads naturally to quantum relaxation.

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A. Drezet. 2018-05-04. Brownian motion in the pilot wave interpretation of de Broglie and relaxation to quantum equilibrium. https://arxiv.org/abs/1805.01628

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